Vers une génération de code unifiée pour les libm et les filtres

This PhD thesis is a part of ANR project "Metalibm". Several common approaches and subtasks exist in code generation for functions and for filters. However, existing early prototypes for function or filter code generator do not share any common formalism nor code. This is mainly due to the gap between both scientific communities.This Ph.D. thesis is to bridge that gap, with a particular focus on the filter side. During my thesis I will investigate the state of the art on both sides, transferring know-how on code generation techniques and software from the function to the filter side. Several experiments on the applicability and stability of the resulting ad-hoc filter generation software will be conducted. These experiences also include work on optimal code generation
for polynomial and FIR/ IIR filter evaluation.
Basing on the experiences with this ad-hoc filter generation code it is possible to propose suitable formalism to express the commonalities in functioning of both function and filter code generation. This formalism, together with appropriate approaches, is supposed to yield a unified software tool-chain for optimized (and optimal) code generation for both signal processing filters and mathematical functions.